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Finding the Fourth Proportional to 21,384, 29,509.92 and 13,000.50

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Solution

The fourth proportional to 21,384, 29,509.92 and 13,000.50 is: 17,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 29,509.92 = 13,000.50 : x
  2. Step 2: Convert to fraction form
    21,384/29,509.92 = 13,000.50/x
  3. Step 3: Cross multiply
    21,384x = 29,509.92 × 13,000.50
  4. Step 4: Simplify right side
    21,384x = 383,643,714.96
  5. Step 5: Solve for x
    x = 383,643,714.96/21,384
  6. Step 6: Final answer
    x = 17,940.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.